Higher-order variational problems of Herglotz type

Abstract

We obtain a generalized Euler-Lagrange differential equation and transversality optimality conditions for Herglotz-type higher-order variational problems. Illustrative examples of the new results are given.

This is a preprint of a paper whose final and definite form will appear in Vietnam Journal of Mathematics, ISSN: 2305-221X (Print) 2305-2228 (Online). Paper submitted 13-June-2013; revised 11-Sept-2013; accepted for publication 24-Sept-2013

References in corpus (2)

• Calculus of Variations on Time Scales with Nabla Derivatives
• Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales

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• Noether currents for higher-order variational problems of Herglotz type with time delay
• An Optimal Control Approach to Herglotz Variational Problems
• Fractional Herglotz variational problems of variable order
• Variational and Optimal Control Approaches for the Second-Order Herglotz Problem on Spheres
• Noether's theorem for higher-order variational problems of Herglotz type